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Finding the Third Proportional to 9,616,728 and 20,306,544

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Solution

The third proportional to 9,616,728 and 20,306,544 is: 42,879,005.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616,728 : 20,306,544 = 20,306,544 : x
  2. Step 2: Convert to fraction form
    9,616,728/20,306,544 = 20,306,544/x
  3. Step 3: Cross multiply
    9,616,728x = 20,306,544 × 20,306,544
  4. Step 4: Simplify right side
    9,616,728x = 412,355,729,223,936
  5. Step 5: Solve for x
    x = 412,355,729,223,936/9,616,728
  6. Step 6: Final answer
    x = 42,879,005.13

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.